track1_continuum_normalization_from_residual_endpoint_holds
plain-language theorem explainer
The Agent B continuum-normalization endpoint holds: any global residual envelope on the canonical periodic tet/six-tet volume quadrature normalizes to the raw product-filter continuum limit (Tendsto). Gravity Track 7 integration cites it as the residual-to-continuum handoff for Fork B. The proof is a one-line term wrapper that applies the existing residual-target theorem to every envelope.
Claim. For every filter base and every global residual envelope $E$ on the canonical periodic tetrahedral/six-tet volume-quadrature cross-cardinality data, the physical Regge–Einstein–Hilbert continuum normalization target holds for $E$: the finite product residual estimate normalizes to the raw product-filter continuum $\mathrm{Tendsto}$ statement.
background
Track 7 is the integration-lane receipt for parallel fork handoffs in the gravity master theorem. It records what each fork endpoint proves without upgrading the discovery claim. Fork B covers the Track 1.B-PHY / 1.C physical residual and Bianchi interface; this declaration is the Agent B continuum-normalization leaf of that fork.
The residual envelope packages a finite product residual estimate on the canonical periodic tet/six-tet volume quadrature (cross-cardinality data over a filter). The continuum target asks that this residual normalize to the unfiltered product-filter continuum limit statement (a Tendsto claim for the physical Regge–EH continuum). Spatial dimension $D=3$ and the fundamental tick enter only as ambient RS constants; they are not re-derived here.
Upstream, the residual-target theorem already discharges the analytic content. This endpoint merely packages that result as a named Prop for the handoff certificate.
proof idea
Term-mode one-line wrapper. The goal is the universal Prop Track1ContinuumNormalizationFromResidualEndpoint, i.e. $\forall E,,\mathrm{PhysicalReggeEHContinuumNormalizationFromResidualTarget},E$. The proof is the lambda fun E => physicalReggeEHContinuumNormalizationFromResidualTarget_holds E, which instantiates the existing residual-target theorem at each envelope. No new algebra or filter reasoning is performed at this site.
why it matters
This endpoint is one of the Track 1 residual/continuum leaves consumed by the Fork A–F integration one-statement and by forkHandoffIntegrationCert. Downstream, the integrated statement deliberately asserts only the conjunction of fork endpoints (many-body lift, Schläfli-to-stationarity reductions, residual/Bianchi interface, Page-capacity layer, $w(z)$ bands, falsifier sensitivity) plus the structural master certificate; it does not claim the fully unconditional discovery theorem.
In the Recognition gravity stack, continuum normalization of the physical residual is the bridge from discrete tet/six-tet quadrature residuals to the continuum Regge–EH limit that the master theorem needs. Closing this leaf keeps the remaining Track 1 displacement-class leaves as the next dependency, matching the module's stated scope.
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